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10010100019 is a prime number
BaseRepresentation
bin10010101001010011…
…00000000100110011
3221211121202202202011
421110221200010303
5131000041200034
64333143103351
7503026306033
oct112451400463
927747682664
1010010100019
114277493337
121b34441b57
13c36b1570a
146ad6318c3
153d8c05864
hex254a60133

10010100019 has 2 divisors, whose sum is σ = 10010100020. Its totient is φ = 10010100018.

The previous prime is 10010100013. The next prime is 10010100031. The reversal of 10010100019 is 91000101001.

It is a weak prime.

It is an emirp because it is prime and its reverse (91000101001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010100019 is a prime.

It is a super-2 number, since 2×100101000192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010099981 and 10010100008.

It is not a weakly prime, because it can be changed into another prime (10010100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050009 + 5005050010.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050010).

Almost surely, 210010100019 is an apocalyptic number.

10010100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100019 is an equidigital number, since it uses as much as digits as its factorization.

10010100019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10010100019 in words is "ten billion, ten million, one hundred thousand, nineteen".